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Finding the Fourth Proportional to 3,386.41, 4,662.85 and 2,964.40

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Solution

The fourth proportional to 3,386.41, 4,662.85 and 2,964.40 is: 4,081.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386.41 : 4,662.85 = 2,964.40 : x
  2. Step 2: Convert to fraction form
    3,386.41/4,662.85 = 2,964.40/x
  3. Step 3: Cross multiply
    3,386.41x = 4,662.85 × 2,964.40
  4. Step 4: Simplify right side
    3,386.41x = 13,822,552.54
  5. Step 5: Solve for x
    x = 13,822,552.54/3,386.41
  6. Step 6: Final answer
    x = 4,081.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.